What is the answer to 1/(2x)+3/(x+7)=-1/x ?

The answer to 1/(2x)+3/(x+7)=-1/x is x=-7/3

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1/(2x)+3/(x+7)=-1/x

\frac{1}{2 x} + \frac{3}{x + 7} = - \frac{1}{x}

x = - \frac{7}{3}

Decimal

x = - 2.33333 \dots

Solution steps

\frac{1}{2 x} + \frac{3}{x + 7} = - \frac{1}{x}

Multiply by LCM

7 x + 7 = - 2 x - 14

Move

7

to the right side

7 x = - 2 x - 21

Move

2 x

to the left side

9 x = - 21

Divide both sides by

9

x = - \frac{7}{3}

Verify Solutions

Find undefined (singularity) points:

x = - 7, x = 0

Combine undefined points with solutions:

x = - \frac{7}{3}

2 x + \frac{5}{x - 5} = \frac{x}{x - 5}

4 π x - \frac{4000}{x ^{2}} = 0

\frac{4 x + 1}{x + 1} = \frac{12}{x ^{2} - 1} + 3

14 - \frac{1}{x ^{2}} = 0

\frac{2 x + 1}{x + 5} = \frac{3 x - 1}{x + 7}

What is the answer to 1/(2x)+3/(x+7)=-1/x ?
The answer to 1/(2x)+3/(x+7)=-1/x is x=-7/3
Solve for x: 1/(2x)+3/(x+7)=-1/x
The solution is x=-7/3